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• W2005789613 abstract "The two common approaches to defining coarse operators in multigrid numerical algorithms are discretization coarse approximation (DCA) and Petrov–Galerkin coarse approximation (GCA). Here, a new approach called collocation coarse approximation (CCA) is introduced, which—like GCA—is algebraically defined and able to cater to difficult features such as discontinuous coefficients, but, unlike GCA, allows explicit control over the coarse-grid sparsity pattern (stencil) and therefore control over the computational complexity of the solver. CCA relies on certain basis functions for which the coarse approximation to the fine-grid problem is exact. Numerical experiments for two-dimensional diffusion problems including jumping coefficients demonstrate the potential of the resulting multigrid algorithms." @default.
• W2005789613 created "2016-06-24" @default.
• W2005789613 creator A5032255313 @default.
• W2005789613 creator A5072314269 @default.
• W2005789613 date "2009-01-01" @default.
• W2005789613 modified "2023-09-25" @default.
• W2005789613 title "Collocation Coarse Approximation in Multigrid" @default.
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• W2005789613 doi "https://doi.org/10.1137/08074461x" @default.
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